salma O Bleed
Salma Omar Bleed Address: College of Science Statistics Department Al-asmarya Islamic University Zliten-Libya
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Papers by salma O Bleed
Life Test (CSALT) under Type-II censoring scheme. Failure times
are assumed to distribute as the three-parameter Generalized Logistic
(GL) distribution. The inverse power law model is used to represent
the relationship between the stress and the scale parameter of a test
unit. Bayes estimates are obtained using Markov Chain Monte Carlo
(MCMC) simulation algorithm based on Gibbs sampling. Then, confidence
intervals, and predicted values of the scale parameter and the
reliability function under usual conditions are obtained. Numerical illustration
and an illustrative example are addressed for illustrating the
theoretical results. WinBUGS software package is used for implementing
Markov Chain Monte Carlo (MCMC) simulation and Gibbs sampling.
(SSALT). The maximum likelihood (ML) method is applied to estimate the unknown parameters of the generalized logistic
distribution, to construct the asymptomatic confidence intervals, and to predict the value of the scale parameter and the
reliability function under the usual conditions. The scale parameter of the lifetime distribution is assumed to be an inverse
power law function of the stress level. Moreover, we consider minimizing the determinant of Fisher information matrix to
obtain the optimum time of changing stress point, and also the optimum censoring time. Finally, numerical simulation is
introduced.
constant stress-accelerated life tests CSALTs. It is assumed that the lifetime at design stress has
generalized logistic distribution. The scale parameter of the lifetime distribution at constant stress
levels is assumed to be an inverse power law function of the stress level. The maximum likelihood
ML estimators of the model parameters, Fisher information matrix, the asymptomatic variancecovariance
matrix, the confidence bounds, the predictive value of the scale parameter, and the
reliability function under the usual conditions are obtained under type-I censoring. Moreover, the
optimal design of the accelerated life tests is studied according to the D-optimality criterion to
specify the optimal censoring time. Finally, the numerical studies are introduced to illustrate the
proposed procedures.
Life Test (CSALT) under Type-II censoring scheme. Failure times
are assumed to distribute as the three-parameter Generalized Logistic
(GL) distribution. The inverse power law model is used to represent
the relationship between the stress and the scale parameter of a test
unit. Bayes estimates are obtained using Markov Chain Monte Carlo
(MCMC) simulation algorithm based on Gibbs sampling. Then, confidence
intervals, and predicted values of the scale parameter and the
reliability function under usual conditions are obtained. Numerical illustration
and an illustrative example are addressed for illustrating the
theoretical results. WinBUGS software package is used for implementing
Markov Chain Monte Carlo (MCMC) simulation and Gibbs sampling.
(SSALT). The maximum likelihood (ML) method is applied to estimate the unknown parameters of the generalized logistic
distribution, to construct the asymptomatic confidence intervals, and to predict the value of the scale parameter and the
reliability function under the usual conditions. The scale parameter of the lifetime distribution is assumed to be an inverse
power law function of the stress level. Moreover, we consider minimizing the determinant of Fisher information matrix to
obtain the optimum time of changing stress point, and also the optimum censoring time. Finally, numerical simulation is
introduced.
constant stress-accelerated life tests CSALTs. It is assumed that the lifetime at design stress has
generalized logistic distribution. The scale parameter of the lifetime distribution at constant stress
levels is assumed to be an inverse power law function of the stress level. The maximum likelihood
ML estimators of the model parameters, Fisher information matrix, the asymptomatic variancecovariance
matrix, the confidence bounds, the predictive value of the scale parameter, and the
reliability function under the usual conditions are obtained under type-I censoring. Moreover, the
optimal design of the accelerated life tests is studied according to the D-optimality criterion to
specify the optimal censoring time. Finally, the numerical studies are introduced to illustrate the
proposed procedures.